That is a hard one. As a rule of thumb, the beer typically ferments and conditions for about 3 weeks, then you bottle it, where it should sit for another 3 weeks. That would run you up against when you will be moving. I have yet to have a beer make it to 3 weeks in the bottle before I crack into it at least a bit. Technically, its ready to go after the 1st 3 weeks, but it tastes like butt, not to mention its flat. The longer it ages in the bottles, the better it is. After the 2nd week, the changes are pretty dramatic in taste compared to the 1st day. After the 3rd week is really when you start to get what you wanted.
Outside of that, I really don't know, or have enough experience yet, to be able to tell you about any specific beers that may be done, and done right, in a short period.
Hope that helps.